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Finding the Fourth Proportional to 361.42, 498.76 and 206.17

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Solution

The fourth proportional to 361.42, 498.76 and 206.17 is: 284.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.42 : 498.76 = 206.17 : x
  2. Step 2: Convert to fraction form
    361.42/498.76 = 206.17/x
  3. Step 3: Cross multiply
    361.42x = 498.76 × 206.17
  4. Step 4: Simplify right side
    361.42x = 102,830.80
  5. Step 5: Solve for x
    x = 102,830.80/361.42
  6. Step 6: Final answer
    x = 284.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.